Results 51 to 60 of about 193 (75)

Quasi-uniform isomorphisms in fuzzy quasi-metric spaces, bicompletion and D-completion

Acta Mathematica Hungarica, 2007
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S Romaguera, OSCAR Valero, Romaguera S   +2 more
exaly   +5 more sources

EXTENSIONS OF CONTINUOUS MAPS TO THE BICOMPLETION IN KM-FUZZY QUASI-METRIC SPACES

Far East Journal of Mathematical Sciences, 2017
Seithuti P Moshokoa
exaly   +4 more sources

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Quasi-uniformities on topological semigroups and bicompletion

Semigroup Forum, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
S Romaguera, Romaguera S
exaly   +4 more sources

Idempotency of Extensions via the Bicompletion

Applied Categorical Structures, 2006
This paper is a contribution to categorical quasi-uniform topology [see, e.g., \textit{H. Künzi}, ``Quasi-uniform spaces'', in: Encyclopedia of general topology, Amsterdam: Elsevier (2004; Zbl 1059.54001), pp 266--270], and is a continuation of the authors' paper [Appl. Categ. Struct. 10, No. 3, 317--330 (2002; Zbl 1008.54016)].
G C L Brummer
exaly   +3 more sources

The bicompletion of an asymmetric normed linear space

Acta Mathematica Hungarica, 2002
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García-Raffi, L. M., Romaguera, S., Sánchez-Pérez, E. A.   +2 more
semanticscholar   +4 more sources

Bicompletion of Lowen fuzzy quasi-uniform spaces

Fuzzy Sets and Systems, 2003
The author sticks to the definition of Katsaras for \(I\)-fuzzy quasi-uniformities as a fuzzification of the entourage approach to quasi-uniformities by dropping the symmetry condition of Lowen's \(L\)-fuzzy uniformity (where \(L=I=[0,1])\). The construction of the bicompletion of \(I\)-fuzzy quasi-uniform spaces is done as a generalization of the ...
Kamal El-Saady
exaly   +3 more sources

Constructing the sobrification of an approach space via bicompletion

Acta Mathematica Hungarica, 2007
Approach spaces form the missing link in the topology-uniformity-metric triad (R. Lowen). \textit{B. Banaschewski, R. Lowen} and \textit{C. Van Olmen} [Topology Appl., 153, No.~16, 3059--3070 (2006; Zbl 1114.54007)] have introduced a notion of sobriety for such approach spaces, modelled after the corresponding concept in the category of topological ...
Gerlo, An, Vandersmissen, Eva
exaly   +4 more sources

Quasinormed Cones and Bicompletion Isometries

Communications on Applied Nonlinear Analysis
Since (X, e_(p_j )) is an extended quasi-metric cone, we demonstrate how any quasi-norm p_jon an actual cancellative cone X naturally implies an extended quasi-metric e_(p_j ) on that cone. We demonstrate that bicompletion respects the structure of a quasi-normalized cone under bijective isometries.
Manal Yagoub, Ahmed Juma
exaly   +3 more sources

Bicompleting weightable quasi-metric spaces and partial metric spaces

Rendiconti Del Circolo Matematico Di Palermo, 2002
The theories of partial metric spaces and of weightable quasi-metric spaces are equivalent, as was shown by \textit{S. G. Matthews} [Ann. New York Acad.Sci. 728, 183--197 (1994; Zbl 0911.54025)]. The present authors prove that the bicompletion of a weightable quasi-metric space is weightable.
S Romaguera, Romaguera S, Sanchez-Perez E A   +2 more
exaly   +4 more sources

Bicompletion and Samuel Bicompactification

Applied Categorical Structures, 2002
Let \(T:\mathbf{QU}_0 \to\text\textbf{TOP}_0\) be the forgetful functor, where \(\mathbf{QU}_0\) is the category of quasi-uniform \(T_0\)-spaces and \(\mathbf{TOP}_0\) is the category of topological \(T_0\)-spaces. A functor \(F:\mathbf{TOP}_0\to\text\textbf{QU}_0\) is called a \(T\)-section if \(T\circ F: \mathbf{TOP}_0 \to\text\textbf{TOP}_0\) is the
Guillaume C. L. Brümmer, Hans-Peter A. Künzi   +1 more
openaire   +3 more sources